[size=85]The graph below shows f(x) in blue and the derivative of f(x) in orange. Find the equation of the derivative of f(x) when [br]f(x) = [math]\frac{\left(7x^2+3x-1\right)}{\left(8x^3-7\right)^2}[/math].[/size]
What is the derivative of f(x) = [math]\frac{\left(7x^2+3x-1\right)}{\left(8x^3-7\right)^2}[/math]?
-[math]\frac{224x^4+120x^3-48x^2+98x+21}{\left(8x^3-7\right)^3}[/math]
The problem below has been taken from the 1983 AHSME. Find the radius of the middle circle when a = 10 and b = 25.
What is the radius of the middle circle? (Round your answer to 4 decimal places)
Using the Law of Cosines solve for the length of the unknown side when left = 5, bottom = 6.2, and the blue angle is 115[math]^\circ[/math].[br]Law of Cosines: [br] (Unknown side)[math]^2[/math] = (Bottom Side)[math]^2[/math] + (Left Side)[math]^2[/math] - 2(Bottom Side)(Left Side) [math]\ast[/math] cos(Blue angle)
What is the length of the unknown side? (Round your answer to 2 decimal places)
The below applet is a visual representation of Bayes' Theorem. Of the population, 6% are infected with a disease. There is a 97% chance that someone with the disease will test positive, while someone without the disease has a 2% chance of testing positive. Calculate the probability that a person is infected given that they tested positive for the disease.
What is the probability that a person is infected given that they tested positive for the disease? (Enter your answer as a percentage rounded to 2 decimal places)
The graph below shows the function f(x) in blue and the function's inverse in green. Find the inverse function of [math]5x^3-2[/math].
What is the inverse function of [math]5x^3-2[/math]?
[math]\sqrt[3]{\frac{x+2}{5}}[/math]